Question
Download Solution PDFThe series expansion of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Taylor series:
The Taylor series of a real or complex-valued function f (x) that is infinitely differentiable at a real or complex number ‘a’ is the power series.
Expression of Taylor series is:
Calculation:
Given:
We have to find the series expansion of
Let f(x) = sin x
f(0) = sin (0) = 0,
f'(0) = cos (0) = 1,
f''(0) = -sin(0) = 0,
f'''(0) = -1 .... so on
Putting all the values in Taylor series expansion, we get:
Series expansion of sin x will be:
Therefore the series expansion of
Last updated on May 9, 2025
-> The BPSC Lecturere DV will be held on 28th May 2025.
-> The written exam took place on 20th March 2025.
-> BPSC Lecturer notification was released for 6 vacancies.
-> The BPSC recruits eligible candidates for the post of Lecturer for various disciplines in Government Colleges across the state.
-> Candidates must attempt the BPSC Lecturer EC Mock Tests. Candidates can also download and practice from the BPSC Lecturer previous year papers.